Analysis Basic measure theory for physics students

I'm trying to read Brian Hall's book "Quantum Theory for Mathematicians". While (I think) I have a basic grasp of most of the prerequisites, I don't know any measure theory. According to the appendix, presumed knowledge includes "the basic notions of measure
theory, including the concepts of σ-algebras, measures, measurable functions, and the Lebesgue integral". Could anyone recommend a short book/ online notes that give me just enough knowledge of measure theory for QM?